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Finding the Fourth Proportional to 67,851, 93,634.56 and 38,043

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Solution

The fourth proportional to 67,851, 93,634.56 and 38,043 is: 52,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,851 : 93,634.56 = 38,043 : x
  2. Step 2: Convert to fraction form
    67,851/93,634.56 = 38,043/x
  3. Step 3: Cross multiply
    67,851x = 93,634.56 × 38,043
  4. Step 4: Simplify right side
    67,851x = 3,562,139,566.08
  5. Step 5: Solve for x
    x = 3,562,139,566.08/67,851
  6. Step 6: Final answer
    x = 52,499.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.